Browsing by Author "Mulati, Nyukuri Omukoba"

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    A HIV/AIDS model in a homogeneous population with time lags in the transmission
    (HIKARI Ltd: Applied Mathematical Sciences, 2014-01-01) Wasike, Adu A.M.; Kibwott, Frankline T; Lawi, GO; Mulati, Nyukuri Omukoba
    We investigate a simple HIV/AIDS epidemic model in a heterosexual population by by modifying a Susceptible-Infective-Removed (SIR) model. The model considers sexual transmission of HIV where individuals are being recruited into sexually matured age group at a constant rate and incorporates time lags for one to become infective and the other to become fully blown. A complete qualitative analysis of the model, including the boundedness and positivity of the solutions, local stability of the equilibrium points is done. We applly the next generation matrix to determine the disease reproduction number R0. The Model is shown to be completely determined by the reproduction number. The model is numerically analysed to asses the effects of the delay on the dynamics of HIV/AIDS and the demographic impact of the epidemic using the demographic and epidemiological parameters for Kenya.
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    A Novel Statistical Model for Poverty Estimation
    (LAP LAMBERT Academic Publishing, 2013-02-26) Sindayigaya, Samuel; Okoth, Annete w.; Mulati, Nyukuri Omukoba
    In this study, individual consumption as a function of income generated by a cow under one-cow-one family program is modelled. The model was applied on sample data collected from Nyaruguru District in Rwanda. The poverty level in the district was estimated and its variance determined. The confidence intervals of the poverty levels were also computed and compared with already established results. It was established that the model is effective